Check sibling questions

Let’s consider the matrix

1.jpg

It has 2 rows & 2 columns

So, we write the order as

Order of a Matrix - Part 2

And,

  3, 2, 1, 4 are elements of matrix A

 

We write the matrix A as

Order of a Matrix - Part 3

Where

a 11 → element in 1st row, 1st column

a 12 → element in 1st row, 2nd column

a 21 → element in 2nd row, 1st column

a 22 → element in 2nd row, 2nd column

 

So,

    a 11 = 3

    a 12 = 2

    a 21 = 1

    a 22 = 4

 

For matrix

Order of a Matrix - Part 4

 

It has 3 rows & 2 columns

So, the order is 3 × 2.

 

We write matrix B as

Order of a Matrix - Part 5

 

Similarly,

Order of a Matrix - Part 6

 

Create a 4 × 3 matrix where elements are given by

a ij = i + j

 

A 4 × 3 matrix looks like

Order of a Matrix - Part 7

Now,

a 11 = 1 + 1 = 2

a 12 = 1 + 2 = 3

a 13 = 1 + 3 = 4

a 21 = 2 + 1 = 3

a 22 = 2 + 2 = 4

a 23 = 2 + 3 = 5

a 32 = 3 + 2 = 5

a 33 = 3 + 3 = 6

a 41 = 4 + 1 = 5

a 42 = 4 + 2 = 5

a 43 = 4 + 3 = 7

 

So, our matrix is

Order of a Matrix - Part 8

 

Get live Maths 1-on-1 Classs - Class 6 to 12


Transcript

A = [■8(3&[email protected]&4)] 2 × 2 Rows Column And, 3, 2, 1, 4 are elements of matrix A A = [■8(𝑎_11&𝑎[email protected]𝑎_21&𝑎_22 )] B = [■8(3&[email protected]&[email protected]&3)] B = [■8(3&[email protected]&[email protected]&3)]_(3 × 2) Matrix Order [■8(9&5&[email protected]&8&[email protected]&1&6)] 3 × 3 [■8(1&2&5&8&𝑥&𝑧)] 1 × 6 [■8([email protected]@[email protected]𝑦@tan^(−1)⁡𝑥 )] 5 × 1 [■8(sin⁡𝑥&cos⁡𝑥&tan⁡𝑥&cot⁡𝑥@sin⁡𝑦&cos⁡𝑦&tan⁡𝑦&cot⁡𝑦@sin⁡𝑧&cos⁡𝑧&tan⁡𝑧&cot⁡𝑧 )] 3 × 4 A = [■8(𝑎_11&𝑎_12&𝑎[email protected]𝑎_21&𝑎_22&𝑎[email protected]𝑎_31&𝑎_32&𝑎[email protected]𝑎_41&𝑎_42&𝑎_43 )] A = [■8(2&3&[email protected]&4&[email protected]&5&[email protected]&6&7)] A = [■8(2&3&[email protected]&4&[email protected]&5&[email protected]&6&7)]

Ask a doubt
Davneet Singh's photo - Co-founder, Teachoo

Made by

Davneet Singh

Davneet Singh has done his B.Tech from Indian Institute of Technology, Kanpur. He has been teaching from the past 13 years. He provides courses for Maths, Science, Social Science, Physics, Chemistry, Computer Science at Teachoo.